Let h_1p[n] denote the impulse response of an FIR generalized linear-phase lowpass filter. The impulse response h_hp[n] of an FIR generalized linear-phase highpass filter can be obtained by the transformation 

h_hp[n] = (–1)ⁿ h_1p[n].

 If we decide to design a highpass filter using this transformation and we wish the resulting highpass filter to be symmetric, which of the four types of generalized linear-phase FIR filters can we use for the design fo the lowpass filter? Your answer should consider all the possible types.